### Approximate Solutions for Nonlinear Partial Fractional Differential Equations

^{(*)}

*Corresponding author*

**DOI's assignment:**

*the author of the article can submit here a request for assignment of a DOI number to this resource!*

**Cost of the service: euros 10,00 (for a DOI)**

#### Abstract

In this article, we use the Adomain decomposition method to find the approximate solutions for the linear and nonlinear partial fractional differential equations via the nonlinear Schrödinger partial fractional differential equation and the telegraph partial fractional differential equation. The fractional derivatives are described in the Caputo sense. We compare between the approximate solutions and the exact solutions for the partial fractional differential equations when α,β→1. Also we make the Figures to compare between the approximate solutions and the exact solutions for the partial fractional differential equations when α,β→1. This method is powerfull to find the approximate solutions for nonlinear partial fractional differential equations. Also we will compare between the approximate solutions which obtained by using the variational itearation method and the approximate solutions which obtained by Adomain decomposition methods. *Copyright © 2013 Praise Worthy Prize - All rights reserved.*

#### Keywords

#### Full Text:

PDF#### References

Kilbas A A Srivastava H M and Trujillo J J 2006 Theory and Applications of Fractional Differential Equations(North-Holland Mathematical Studies, Vol. 204, Elsevier, Amsterdam).

Podlubny I 1999 Fractional Differential Equation( Acad. Press, San Diego-New York-London).

Samko S G, Kilbas A A and Marichev O I 1993 Fractional Integrals and Derivatives: Theory and Applications( Gordon and Breach, Langhorne).

Magin R L 2006 Fractional Calculus in Bioengineering (Begell House Publisher, Inc. Connecticut).

West B J, Bologna M and Grigolini P 2003 Physics of Fractal operators (New York, Springer).

Agrawal O P, Baleanu D 2007 J. Vibr. Contr. 13 1269.

Tarasov V E 2008 Annals of Physics 323 2756.

He J H 1999 Bull.Sci. Tecknol. 15 86.

Erturk V S , Momani Sh and Odibat Z 2008 Commun. Nonlinear Sci. Numer. Simulat. 13 1642.

Daftardar-Gejji V, Bhalekar S 2008 Appl. Math. Comput. 202 113.

Daftardar-Gejji V , Jafari H 2007 Appl. Math. Comput. 189 541.

Zayed EME, Nofal TA and Gepreel K A 2008 Commu. Appl. Nonlinear Anal. 15 57.

Herzallah M A E and Gepreel K A 2012 Applied Mathematical Modelling 36 5678.

Sweilam N H, Khader M M and , Al-Bar RF 2007 Phys. Lett. A 371 26.

He J H 1999 Int. J. Nonlinear Mech. 34 699.

Wu G and Lee E W M 2010 Phys. Lett. A 374 2506.

He J H 2006 Phys. Lett. A. 350 87.

Golbabai A and Sayevand K 2011 Comput.Math. Application 61 2227.

A Golbabai A and Sayevand K 2010 Nonlinear Science Letters A 1 147.

Gepreel K A 2011 Applied Math.Letters 24 1428.

Gepreel K A and Mohamed S M 2013 Chinese Physics B 22 010201.

He J H 2012 Abstract and Applied Analysis 2012 ID916793 130 pages.

Gepreel K A and Omran S 2011 Chines Physics B 21 110204 .

Song L and Wang W 2010 Physics Letters A 374 3190.

Kanth A S V and Aruna K 2009 Chaos Solitons Fract.41 2277.

Cascaral R, Eckstein E, Frota C and Goldstein J 2002 J. Math. Anal.Appl.276 145.

Biazar J and Eslami M 2010 Phys. Lett. A 374 2904.

Song J, Yin F, Cao X and Lu F 2013 J.Appl.Math.2013 ID 392567 10 pages.

### Refbacks

- There are currently no refbacks.

Please send any question about this web site to info@praiseworthyprize.com**Copyright © 2005-2024**** Praise Worthy Prize**